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Asymptotic Properties of Solutions to 3-Particle Schrödinger Equations

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Abstract:

We construct a generalized Fourier transformation ℱ(λ) associated with the 3-body Schrödinger operator H=−Δ+Σa V a(x a) and characterize all solutions of (H−λ)u= 0 in the Agmon–Hörmander space ℬ* as the image of ℱ(λ)*. These stationary solutions admit asymptotic expansions in ℬ* in terms of spherical waves associated with scattering channels.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Tokyo Metropolitan University, Minami-Osawa, Hachioji, 192-0397, Japan, , , , , , JP

    Hiroshi Isozaki

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  1. Hiroshi Isozaki
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Received: 20 September 2000 / Accepted: 20 May 2001

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Isozaki, H. Asymptotic Properties of Solutions to 3-Particle Schrödinger Equations. Commun. Math. Phys. 222, 371–413 (2001). https://doi.org/10.1007/PL00005579

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  • DOI: https://doi.org/10.1007/PL00005579

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